100113678 has 96 divisors (see below), whose sum is σ = 262483200. Its totient is φ = 27699408.

The previous prime is 100113647. The next prime is 100113703. The reversal of 100113678 is 876311001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1494201 + ... + 1494267.

It is an arithmetic number, because the mean of its divisors is an integer number (2734200).

Almost surely, 2^100113678 is an apocalyptic number.

100113678 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100113678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131241600).

100113678 is an abundant number, since it is smaller than the sum of its proper divisors (162369522).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100113678 is an equidigital number, since it uses as much as digits as its factorization.

100113678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 100113678 is about 10005.6822855815. The cubic root of 100113678 is about 464.3346989354.

Adding to 100113678 its reverse (876311001), we get a palindrome (976424679).

It can be divided in two parts, 10011 and 3678, that added together give a square (13689 = 117²).

The spelling of 100113678 in words is "one hundred million, one hundred thirteen thousand, six hundred seventy-eight".